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NMAR机制下线性回归模型参数的Bayesian估计

Bayesian Estimation of Parameter in Linear Regression Model under NMAR Mechanism
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摘要 当数据缺失机制为非随机缺失(NMAR)时,线性回归模型中的参数估计是一个复杂的问题.本文采用贝叶斯(Bayesian)方法,并利用MCMC方法、选择模型和Gibbs抽样方法,求得了参数的Bayesian估计,用一个模拟例子求得参数的估计均值和方差说明了此种方法的可行性。 The parameter estimation of the linear regression model is a very complex problem when the data missing mechanism is NMAR. By using the methods of Bayesian, MCMC, selection model and Gibbs sampling, this paper get the Bayesian estimation of parameter. By using a simulated example to get the mean and variance of parameter estimation, this paper explains the feasibility of this kind of method.
出处 《长春师范学院学报(自然科学版)》 2010年第2期15-17,共3页 Journal of Changchun Teachers College
关键词 缺失机制 线性模型 选择模型 LOGIT模型 GIBBS抽样 Bayesian估计 data missing meehanism linear regression model selection model logit model Gibbs sampling Bayesian estimation
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参考文献6

  • 1Rubin D B.Multiple imputation:a primer[J].Statistical methods in Medical Research,1999,8(1):3-15.
  • 2James M R.Inference for imputation estimators[J].Biometrika,2000,87(1):113-124.
  • 3杨军,赵宇,丁文兴.抽样调查中缺失数据的插补方法[J].数理统计与管理,2008,27(5):821-832. 被引量:28
  • 4Rubin D B.Inference and missing data (with discussion)[J].Biometrika,1976,63:581-592.
  • 5Sandro Scheid.Selection Models for Nonignorable Missing Data[D].Germany:Peter Lang GmbH.2004.
  • 6Tanner M A and Wong W H.The calculation of posterior distribution by data augmentation (with diacussion)[J].J.Amer.Statist.Assoc.,1987,82:528-550.

二级参考文献37

  • 1杨军,邹国华.比例Bootstrap及其方差估计的相合性[J].中国科学院研究生院学报,2007,24(3):273-279. 被引量:2
  • 2Little R J A and Rubin D B. Statistical Analysis with Missing Data [M]. John Wiley and Sons, 2002(2nd Ed.).孙山泽译,缺失数据统计分析,中国统计出版社,2004.
  • 3Rao J N K. On variance estimation with imputed survey data [J]. J. Amer. Statist. Assoc., 1996, 91: 499-506.
  • 4Rubin D B. Multiple imputations in sample survey [C]. Proc. Survey Res. Meth. Sec., Am. Statist. Assoc., 1978: 20-34.
  • 5Rubin D B. Multiple Imputation for Nonresponse in surveys [M]. John Wiley and Sons, 1987.
  • 6Kim J K and Park H. Imputation using response probability [J]. The Canadian Journal of Statistics, 2006, 34 (1): 171-182.
  • 7Rubin D B. Inference and missing data (with discussion) [J]. Biometrika, 1976, 63: 581-592.
  • 8Lu G B and Copas J B. Missing at random, likelihood ignorability and model completeness [J]. Ann. Statist., 2004, 32 (2): 754-765.
  • 9Dempster A F, Laird N M and Rubin D B. Maximum likelihood from incomplete data via the EM algorithm (with disussion) [J]. J. Roy. Statist. Soc. Ser. B, 1977, 39:1-38.
  • 10Rao J N K and Shao J. Jackknife variance estimation with survey data under hot deck imputation [J]. Biometrika, 1992, 79: 811-822.

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